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Finding the Fourth Proportional to 709.38, 979.16 and 460.72

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Solution

The fourth proportional to 709.38, 979.16 and 460.72 is: 635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.38 : 979.16 = 460.72 : x
  2. Step 2: Convert to fraction form
    709.38/979.16 = 460.72/x
  3. Step 3: Cross multiply
    709.38x = 979.16 × 460.72
  4. Step 4: Simplify right side
    709.38x = 451,117.52
  5. Step 5: Solve for x
    x = 451,117.52/709.38
  6. Step 6: Final answer
    x = 635.93

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.